Hi, I have been given the following problem;(adsbygoogle = window.adsbygoogle || []).push({});

If an electron is confined to a 1-D potential well of infinite barrier height and width

L, the normalized wavefunction Psi(x) of the electron in the various quantized states, n,

is given as Psi_{n}(x)=(2/L)^{0.5}sin(n pi x / L).

For the n=2 state, what is the probability of finding the electron at the centre of the

well?

I have calculated these probability questions in the past, but they have always been for a probability across a range of values for x, i.e from 0 to L/2, which I use as my limits when integrating. In this case however, it is asking about a specific point. I assume that the answer is zero, as the upper and lower limit are identical. Is this correct?

Thanks.

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# Homework Help: Particle in a box problem

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